#### Solution for 80 is what percent of 20:

80: 20*100 =

(80*100): 20 =

8000: 20 = 400

Now we have: 80 is what percent of 20 = 400

Question: 80 is what percent of 20?

Percentage solution with steps:

Step 1: We make the assumption that 20 is 100% since it is our output value.

Step 2: We next represent the value we seek with {x}.

Step 3: From step 1, it follows that {100\%}={ 20}.

Step 4: In the same vein, {x\%}={80}.

Step 5: This gives us a pair of simple equations:

{100\%}={ 20}(1).

{x\%}={80}(2).

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have

\frac{100\%}{x\%}=\frac{ 20}{80}

Step 7: Taking the inverse (or reciprocal) of both sides yields

\frac{x\%}{100\%}=\frac{80}{ 20}

\Rightarrow{x} = {400\%}

Therefore, {80} is {400\%} of { 20}.

#### Solution for 20 is what percent of 80:

20:80*100 =

( 20*100):80 =

2000:80 = 25

Now we have: 20 is what percent of 80 = 25

Question: 20 is what percent of 80?

Percentage solution with steps:

Step 1: We make the assumption that 80 is 100% since it is our output value.

Step 2: We next represent the value we seek with {x}.

Step 3: From step 1, it follows that {100\%}={80}.

Step 4: In the same vein, {x\%}={ 20}.

Step 5: This gives us a pair of simple equations:

{100\%}={80}(1).

{x\%}={ 20}(2).

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have

\frac{100\%}{x\%}=\frac{80}{ 20}

Step 7: Taking the inverse (or reciprocal) of both sides yields

\frac{x\%}{100\%}=\frac{ 20}{80}

\Rightarrow{x} = {25\%}

Therefore, { 20} is {25\%} of {80}.

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